13677605 has 16 divisors (see below), whose sum is σ = 17852400. Its totient is φ = 10017792.

The previous prime is 13677577. The next prime is 13677607. The reversal of 13677605 is 50677631.

It can be written as a sum of positive squares in 8 ways, for example, as 2401 + 13675204 = 49^2 + 3698^2 .

It is a cyclic number.

It is not a de Polignac number, because 13677605 - 2¹⁰ = 13676581 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13677607) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 971 + ... + 5319.

It is an arithmetic number, because the mean of its divisors is an integer number (1115775).

Almost surely, 2^13677605 is an apocalyptic number.

It is an amenable number.

13677605 is a deficient number, since it is larger than the sum of its proper divisors (4174795).

13677605 is a wasteful number, since it uses less digits than its factorization.

13677605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4408.

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 13677605 is about 3698.3246206898. The cubic root of 13677605 is about 239.1497984248.

The spelling of 13677605 in words is "thirteen million, six hundred seventy-seven thousand, six hundred five".